Lattice length for Zincblende structures

In summary, the conversation discusses the covalent radii of Ga and As, the structure of zinc blende, and a formula for calculating the distance between atoms in a crystal lattice. The formula, [4/sqrt(3)] x [ radius of Ga + radius of As ], can be used to calculate the distance of 5.66 A, but the reasoning behind it is unknown. It is also mentioned that the formula is similar to that of body-centered cubic packing, but it is unclear if there is any correlation between the two. The speaker suggests using simple geometry to calculate such distances.
  • #1
nefizseal
4
0
So we have the covalent Radii of Ga = 1.26 A and As = 1.19 A. And the structure is Zinc blende with arsenic occupying half of the tetrahedral sites. So its probably not close packed...

The formula the works for me is, [4/sqrt(3)] x [ radius of Ga + radius of As ]. I can get the answer ( 5.66 A ) by this but I don't know why or how it works? Can someone please explain the reasoning behind it.

Also I noticed this is like the formula for the Body centre cubic packing. Is there any corelation?
thx...
 
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  • #2
Without looking at the structure - such things can be always calculated just by simple geometry. Draw the cell, assume atoms "touch" each other, draw distances between atom centers, use whatever is needed to solve the triangles present.
 

1. What is a "lattice length" in the context of Zincblende structures?

A lattice length refers to the distance between the atoms in a crystal lattice, specifically for the Zincblende structure. It is an important parameter that determines the physical and chemical properties of the material.

2. How is the lattice length for Zincblende structures determined?

The lattice length for Zincblende structures is determined by the size of the unit cell and the arrangement of atoms within it. It can be calculated using X-ray diffraction techniques or other crystallographic methods.

3. What factors can affect the lattice length for Zincblende structures?

The lattice length for Zincblende structures can be affected by factors such as temperature, pressure, and the presence of impurities or defects in the crystal lattice. It can also be influenced by the composition of the material and its crystal structure.

4. How does the lattice length for Zincblende structures impact the material's properties?

The lattice length for Zincblende structures plays a significant role in determining the mechanical, electrical, and optical properties of the material. It affects the band structure, band gap, and electron mobility, among other properties.

5. Can the lattice length for Zincblende structures be modified?

Yes, the lattice length for Zincblende structures can be modified through various methods such as alloying, doping, and strain engineering. These techniques can alter the atomic arrangement and thus change the lattice length and the material's properties.

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